Biembedding Abelian groups with mates having transversals

DOI10.1002/jcd.20299zbMath1252.05148OpenAlexW2078714670MaRDI QIDQ3165560

Martin Knor, Michael John Grannell

Publication date: 29 October 2012

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.20299

zbMATH Keywords

Abelian groupLatin squaretransversalcomplete tripartite graphCayley tabletopological embedding

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Orthogonal arrays, Latin squares, Room squares (05B15) Coloring of graphs and hypergraphs (05C15) Transversal (matching) theory (05D15) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

• A lower bound for the number of triangular embeddings of some complete graphs and complete regular tripartite graphs
• On biembeddings of Latin squares
• Biembeddings of Abelian groups
• BIEMBEDDINGS OF LATIN SQUARES AND HAMILTONIAN DECOMPOSITIONS

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